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Course: MATH 0106, Fall 2009School: Polytechnic University...
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POLITCNICA UNIVERSIDAD DE PUERTO RICO Departamento de Ciencias y Matemticas MATH 0106 Repasos y exmenes parciales final Prof. Manuel Capella-Casellas, M.A.Ed. Agosto 2006
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POLITCNICA UNIVERSIDAD DE PUERTO RICO
Departamento de Ciencias y Matemticas
MATH 0106
Repasos y exmenes
parciales final Prof. Manuel Cape...
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Polytechnic University of Puerto Rico - MATH - 0106
UNIVERSIDAD POLITCNICA DE PUERTO RICODepartamento de Matemticas y Ciencias"LOS POLINOMIOS"Introduccin al lgebra MATH 0106Prof. Manuel Capella-Casellas, M.A.Ed. Rev. diciembre, 2003
Polytechnic University of Puerto Rico - MATH - 102
Tema: Divisin de Enteros Descripcin: Se aplican las mismas reglas de signo de multiplicacin. Ejemplos: Halle el cociente: 1) 2) 3) 4) 5) 28 =7 4 14 (7) = 2 3 no est definida la divisin entre cero 0 05 = 0 (7) (1) = 7Ejercicios: Hallar el cocient
Polytechnic University of Puerto Rico - MATH - 102
Tema: Orden de Operaciones Descripcin: Debemos seguir el orden de operaciones establecido universalmente porque sino correremos el riesgo de obtener el resultado equivocado. Se deben efectuar en el siguiente orden: parntesis ( ), corchetes [ ], llave
Polytechnic University of Puerto Rico - MATH - 102
Tema: Suma, Resta, Multiplicacin y Divisin de Fracciones Mixtas Descripcin: Las fracciones mixtas son sumamente necesarias en el diario vivir, como, por ejemplo, al confeccionar una receta, al leer el reloj o al leer un mapa y calcular la distancia p
Polytechnic University of Puerto Rico - MATH - 102
Tema: Decimales Descripcin: Son otra manera de expresar fracciones, facilitar la forma de medida y la comparacin. Ejemplos:Escriba el decimal en palabras y luego como fraccin o nmero mixto. 1) 3.1415 1415 Solucin : tres y mil cuatrocientos quince d
Polytechnic University of Puerto Rico - MATH - 102
Tema: Fracciones Decimales y Por cientos Descripcin: Los por cientos son basados en partes de 100. Ofrecen una forma estndar de medir y describir muchas situaciones de nuestro diario vivir. Ejemplo: 1) Cambie el 23% a fraccin. Solucin: 23% =23 100
Polytechnic University of Puerto Rico - MATH - 0102
Tema: Figuras Geomtricas Planas Descripcin: La palabra geometra viene de las palabras griegas geo que significa tierra y metro que significa medida. Estudiaremos algunas figuras geomtricas planas ( dos dimensiones) sus caractersticas y diferencias co
Polytechnic University of Puerto Rico - MATH - 0102
UNIVERSIDAD POLITCNICA DE PUERTO RICO Departamento de Ciencias y MatemticasREPASO EXAMEN #1Nmeros Enteros, Nmeros Racionales y Orden de OperacinProf. Manuel Capella-Casellas, M.A.Ed. UPPR Departamento de Ciencias y MatemticasAgosto 2006Pgi
Polytechnic University of Puerto Rico - MATH - 0102
UNIVERSIDAD POLITCNICA DE PUERTO RICO Departamento de Ciencias y MatemticasREPASO EXAMEN #2Nmeros Racionales (decimales) y orden de operacin, y Por CientoProf. Manuel Capella-Casellas, M.A.Ed. Septiembre 2006 UPPR Departamento de Ciencias y Ma
Polytechnic University of Puerto Rico - MATH - 0102
UNIVERSIDAD POLITCNICA DE PUERTO RICO Departamento de Ciencias y MatemticasREPASO EXAMEN #3Expresiones y Ecuaciones Algebraicas y Notacin ExponencialProf. Manuel Capella-Casellas, M.A.Ed. UPPR Departamento de Ciencias y MatemticasAgosto 2006
Polytechnic University of Puerto Rico - MATH - 0102
UNIVERSIDAD POLITCNICA DE PUERTO RICO Departamento de Ciencias y MatemticasREPASO EXAMEN FINALMATH 0102Prof. Manuel Capella-Casellas, M.A.Ed. UPPR Departamento de Ciencias y MatemticasAgosto 2006Pgina 1 de 10Prof. Manuel Capella-Casellas
Polytechnic University of Puerto Rico - MATH - 0102
UNIVERSIDAD POLITCNICA DE PUERTO RICODepartamento de Ciencias y MatemticasMATH 0102Repasos exmenesparciales y final Prof. Manuel Capella-Casellas, M.A.Ed.Agosto 2006
Polytechnic University of Puerto Rico - MATH - 106
EL LENGUAJE DE LAS MATEMTICASIngls Sum Add In addition to Added to More than Increased by Greater than Exceeded by Excess Decreased by Less than Substract Difference Diminished Reduced Remainder Multiply Times as much Percent of Product Interest on
Polytechnic University of Puerto Rico - MATH - 0102
Tema: Teora Elemental de Conjuntos Descripcin: Se introducirn los principios bsicos de conjuntos. Requiere que se conozcan las definiciones para entender los conceptos de notacin, conjunto universal, vaco o nulo, unin, interseccin, y subconjunto. La
Polytechnic University of Puerto Rico - MATH - 102
Tema: Interpretacin de Grficas Descripcin: Cmo se obtiene informacin de grficas en publicaciones? A continuacin te diremos como leer lo que muchos pasan por alto; el entrelneas de un grfico. Ejemplo: La cantidad de ventas en un mes de los diferentes
Oregon State - ECE - 466
Review for 2nd Midterm Principles of QoS Fair Rate Computation Max-min Fairness Scheduler: FIFO, TDMA, Priority, Round Robin Classifier Fluid model Queuing Weighted Fair Queuing Virtual Time Algorithm for WFQReview for 2nd Midterm Prope
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Oregon State - ECE - 466
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ECE 466/566 Computer Networks and Protocols Winter 06 Dr. Thinh Nguyen Homework 4 (Programming Assignment) Due 02/22/07 at the beginning of the classIn this assignment, you are going to implement the token bucket algorithm. The work will be done in
Oregon State - ECE - 466
ECE 466/566 Computer Networks and Protocols Winter 06 Dr. Thinh Nguyen Homework 5 Due 03/06/07 at the beginning of the class1) Problem 1 in Chapter 8. (4pts) 2) Problem 4 in Chapter 8. Use e = 9 and assign a = 1, b =2, c = 3, . (10pts) 3) Problem 6
Oregon State - ECE - 466
Default Final Projects:Project 1: Implement Simple BitTorrents Your goal is to disseminate a file from a single computer to four other computers as quick as possible. Here is the catch, these computers do not join the P2P network at the same time.
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Probability ReviewThinh NguyenProbability Theory ReviewSample space Bayes' Rule Independence Expectation DistributionsSample Space - EventsSample PointThe outcome of a random experimentSample Space SThe set of all possible outcomes Discre
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Probability ReviewThinh Nguyen Probability Theory Review Sample space Bayes' Rule Independence Expectation Distributions Sample Space EventsSample PointThe outcome of a random experiment The set of all possible outcomes D
Oregon State - ECE - 466
Thread Programming (Linux)Thread Programming http:/www.yolinux.com/TUTORIALS/LinuxTutorialPosixT hreads.html#BASICS#include <stdio.h> #include <stdlib.h> #include <pthread.h>Examplevoid *print_message_function( void *ptr ); main() { pthread_
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Instruction for Final Project:What to turn in for Final Project.1) 2) 3) 4)Complete source code of your final project. A detail description of the project includes detail protocol and design philosophy. Quantitative performance results A demons
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ECE 466/566 Advanced Computer NetworksThinh Nguyen Email: thinhq@eecs.orst.edu Electrical Engineering and Computer Science Oregon State UniversityTA: Monchai Lertsutthiwong Email:lertsumo@engr.orst.eduOffice Hours: 3-5 PM.7: Multimedia Networkin
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Network SecurityGoals: understand principles of network security:cryptography and its many uses beyond "confidentiality" authentication message integrity key distributionsecurity in practice:firewalls security in application, transport, network,
Oregon State - ECE - 466
Peer-to-Peer NetworksJeff PangIntroQuickly grown in popularityDozens or hundreds of file sharing applications 35 million American adults use P2P networks - 29% of all Internet users in US! Audio/Video transfer now dominates traffic on the Inter
Oregon State - ECE - 466
Oregon State - ECE - 466
ECE 466/566 Advanced Computer NetworksThinh Nguyen Email: thinhq@eecs.orst.edu Electrical Engineering and Computer Science Oregon State UniversityOffice hoursMy office hours: T: 9:00-:11AM, Kelley Engineering Center 3115Class homepagehttp:/www
Oregon State - ECE - 466
Practice problems for midterm:1) Concentrate on problems 1) and 2) on homework 3. Make sure you understand the solution.2) Solve the following problem regarding the token bucket algorithm.A router uses the token bucket algorithm to regulate the
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Oregon State - ECE - 466
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Final ReviewChapter 5Error detection and correction techniquesParity checks, checksum (CRC)Multiple Access ProtocolsChannel partition Random Access ProtocolsALOHA, Slotted ALOHA Taking-turn protocolsLink-Layer AddressingMAC address ARP DHC
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Oregon State - ECE - 465
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ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 2 Due 10/10/06 at the beginning of the class 1. Suppose a client wants to get a page consisting of 5 objects from a web server. Each object (including the base html file) i
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ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 2 Due 10/12/06 at the beginning of the class 1. Suppose a client wants to get a page consisting of 5 objects from a web server. All objects (including the base html file) r
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ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 3 Due 10/26/06 at the beginning of the class1. Problem 16 from the problem section of chapter 3 from the text book (4 pts) 2. Problem 27 from the problem section of chapt
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ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 3 Due 10/26/06 at the beginning of the class1. Problem 16 from the problem section of chapter 3 from the text book (4 pts) a) Here we have a window size of N=3. Suppose t
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ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 4 Due 11/07/06 at the beginning of the class1. Problem 4 from the problem section of chapter 4 from the text book (4 pts) 2. Problem 7 from the problem section of chapter
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ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 5 Due 11/21/06 at the beginning of the class1. Problem 1 from the problem section of chapter 5 from the text book (2 pts) 2. Consider a 4-bit generator, G = 1001, and sup
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ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 5 Due 11/21/06 at the beginning of the class1. Problem 1 from the problem section of chapter 5 from the text book (2 pts)The rightmost column and bottom row are for par
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ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 6 Due 11/30/06 at the beginning of the class1. Problem 12 from chapter 5 of the problem section of the textbook (6pts) 2. Problem 15 from chapter 5 of the problem section
Oregon State - ECE - 465
ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 6 Due 12/03/06Problem 1.Time, t 0 225 273 273+225 = 498 498+96=594 273+512 = 785Event A and B begin transmission A and B detect collision A and B finish transmitting
Oregon State - ECE - 465
ECE 465/565 Computer Networks and Protocols Fall 06 Dr. Thinh Nguyen Homework 4Problem 4. a) No VC number can be assigned to the new VC; thus the new VC cannot be established in the network. b) Each link has two available VC numbers. There are four
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Oregon State - ECE - 352
CHAPTER 4APPLICATIONS OF FOURIER REPRESENTATIONS TO MIXED SIGNAL CLASSESperiodic : FS CT : non - periodic : FT X [k ] X ( j ) X [k ] X e jperiodic : DTFS DT : non - periodic : DTFT( ) What about the Fourier representation of a mixture of a) p
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The Laplace TransformECE3521Definition of the Laplace transform FT of x(t): X(j) = -jt dt. - x(t)e Replacing j with a point in the 2-D complex plane s = + j (complex freq.):X(s) = X( + j) =- x(t)e-jt-(+j)tdt=-[x(t)e-t
Oregon State - ECE - 352
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Oregon State - ECE - 352
Example Example 6.10, p501, Fig. 6.7 on p493: RC = 0.2 Input voltage: x(t) = (3/5)e-2tu(t) Initial condition: y(0-) = -2 Find y(t), the voltage across the capacitor.ECE3521Example (cont.) The differential equation: d 1 y(t) + y(t) dt RC d y
Oregon State - ECE - 352
Chapter 7: The z-TransformECE3521The z-Transform - denition Continuous-time systems: est H(s) y(t) = estH(s) est is an eigenfunction of the LTI system h(t), and H(s) is the corresponding eigenvalue. Discrete-time systems: x[n] = z n h[n]
Oregon State - ECE - 352
Inversion of the z-Transform Focus on rational z-transform of z -1. Apply partial fraction expansion. Like bilateral Laplace transforms, ROC must be used to determine a unique inverse z-transform. Let B(z) b0 + b1z -1 + + bM z -M X(z) = = A(z)
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ECE352 Spring 07 Dr. Thinh Nguyen Homework 1 Due 04/13/07 at the beginning of the class3.75, 3.76, 3.81, 4.16, 4.17, 4.20
Oregon State - ECE - 352
ECE352 Spring 07 Dr. Thinh Nguyen Homework 1 Due 04/13/07 at the beginning of the class